Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications / Synthesis Lectures on Mathematics & Statistics (PDF)

Name: Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications / Synthesis Lectures on Mathematics & Statistics
Brand: Springer International Publishing
SKU: 144968384
Price: 60.49 EUR
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(Sprache: Englisch)

Autoren: Mircea Neagu , Alexandru Oana

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Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications / Synthesis Lectures on Mathematics & Statistics, Mircea Neagu, Alexandru Oana

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This book studies a category of mathematical objects called Hamiltonians, which are dependent on both time and momenta. The authors address the development of the distinguished geometrization on dual 1-jet spaces for time-dependent Hamiltonians, in contrast with the time-independent variant on cotangent bundles. Two parts are presented to include both geometrical theory and the applicative models: Part One: Time-dependent Hamilton Geometry and Part Two: Applications to Dynamical Systems, Economy and Theoretical Physics. The authors present 1-jet spaces and their duals as appropriate fundamental ambient mathematical spaces used to model classical and quantum field theories. In addition, the authors present dual jet Hamilton geometry as a distinct metrical approach to various interdisciplinary problems.

Provides interdisciplinary geometric models in differential geometry, analytical mechanics, dynamical systems, electrodynamics, economics, and theoretical and mathematical physics
Structured in two parts to present both the geometrical theory and the applicative models
Studies the differential geometry of spaces in which the metric used for measuring changes in function of time and momentum

Autoren-Porträt von Mircea Neagu, Alexandru Oana

Mircea Neagu, Ph.D., is an Associate Professor in the Department of Mathematics and Computer Science at the Transylvania University of Brasov. He received his Ph.D. in mathematics from the Polytechnic University of Bucharest.

Alexandru Oana, Ph.D., is a Lecturer in the Department of Mathematics and Computer Science at the Transylvania University of Brasov. He received his B.S. in mathematics followed by his Ph.D. in differential geometry dependent on higher order accelerations.

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Autoren: Mircea Neagu , Alexandru Oana
2022, 1st ed. 2022, 87 Seiten, Englisch
Verlag: Springer International Publishing
ISBN-10: 3031088859
ISBN-13: 9783031088858
Erscheinungsdatum: 31.08.2022

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